{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "189a4ddc-2628-4c6f-a2fc-f23ddc52185c",
   "metadata": {},
   "source": [
    "# Parameter `marginal` of the Q-Q Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7025b5b4-5e88-48e2-a677-c369ad601fb8",
   "metadata": {},
   "outputs": [
    {
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       "                        window[\"call_DataFrame\"] = function(f) {f();};\n",
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       "                    script.addEventListener(\"error\", function() {\n",
       "                        window[\"call_DataFrame\"] = function(f) {};\n",
       "                        window.kotlinQueues[\"DataFrame\"] = [];\n",
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       "                        div.style.color = 'darkred';\n",
       "                        div.textContent = 'Error loading resource DataFrame';\n",
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       "            </script>"
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       "                <style>\n",
       "                :root {\n",
       "    --background: #fff;\n",
       "    --background-odd: #f5f5f5;\n",
       "    --background-hover: #d9edfd;\n",
       "    --header-text-color: #474747;\n",
       "    --text-color: #848484;\n",
       "    --text-color-dark: #000;\n",
       "    --text-color-medium: #737373;\n",
       "    --text-color-pale: #b3b3b3;\n",
       "    --inner-border-color: #aaa;\n",
       "    --bold-border-color: #000;\n",
       "    --link-color: #296eaa;\n",
       "    --link-color-pale: #296eaa;\n",
       "    --link-hover: #1a466c;\n",
       "}\n",
       "\n",
       ":root[theme=\"dark\"], :root [data-jp-theme-light=\"false\"], .dataframe_dark{\n",
       "    --background: #303030;\n",
       "    --background-odd: #3c3c3c;\n",
       "    --background-hover: #464646;\n",
       "    --header-text-color: #dddddd;\n",
       "    --text-color: #b3b3b3;\n",
       "    --text-color-dark: #dddddd;\n",
       "    --text-color-medium: #b2b2b2;\n",
       "    --text-color-pale: #737373;\n",
       "    --inner-border-color: #707070;\n",
       "    --bold-border-color: #777777;\n",
       "    --link-color: #008dc0;\n",
       "    --link-color-pale: #97e1fb;\n",
       "    --link-hover: #00688e;\n",
       "}\n",
       "\n",
       "p.dataframe_description {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "table.dataframe {\n",
       "    font-family: \"Helvetica Neue\", Helvetica, Arial, sans-serif;\n",
       "    font-size: 12px;\n",
       "    background-color: var(--background);\n",
       "    color: var(--text-color-dark);\n",
       "    border: none;\n",
       "    border-collapse: collapse;\n",
       "}\n",
       "\n",
       "table.dataframe th, td {\n",
       "    padding: 6px;\n",
       "    border: 1px solid transparent;\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       "table.dataframe th {\n",
       "    background-color: var(--background);\n",
       "    color: var(--header-text-color);\n",
       "}\n",
       "\n",
       "table.dataframe td {\n",
       "    vertical-align: top;\n",
       "}\n",
       "\n",
       "table.dataframe th.bottomBorder {\n",
       "    border-bottom-color: var(--bold-border-color);\n",
       "}\n",
       "\n",
       "table.dataframe tbody > tr:nth-child(odd) {\n",
       "    background: var(--background-odd);\n",
       "}\n",
       "\n",
       "table.dataframe tbody > tr:nth-child(even) {\n",
       "    background: var(--background);\n",
       "}\n",
       "\n",
       "table.dataframe tbody > tr:hover {\n",
       "    background: var(--background-hover);\n",
       "}\n",
       "\n",
       "table.dataframe a {\n",
       "    cursor: pointer;\n",
       "    color: var(--link-color);\n",
       "    text-decoration: none;\n",
       "}\n",
       "\n",
       "table.dataframe tr:hover > td a {\n",
       "    color: var(--link-color-pale);\n",
       "}\n",
       "\n",
       "table.dataframe a:hover {\n",
       "    color: var(--link-hover);\n",
       "    text-decoration: underline;\n",
       "}\n",
       "\n",
       "table.dataframe img {\n",
       "    max-width: fit-content;\n",
       "}\n",
       "\n",
       "table.dataframe th.complex {\n",
       "    background-color: var(--background);\n",
       "    border: 1px solid var(--background);\n",
       "}\n",
       "\n",
       "table.dataframe .leftBorder {\n",
       "    border-left-color: var(--inner-border-color);\n",
       "}\n",
       "\n",
       "table.dataframe .rightBorder {\n",
       "    border-right-color: var(--inner-border-color);\n",
       "}\n",
       "\n",
       "table.dataframe .rightAlign {\n",
       "    text-align: right;\n",
       "}\n",
       "\n",
       "table.dataframe .expanderSvg {\n",
       "    width: 8px;\n",
       "    height: 8px;\n",
       "    margin-right: 3px;\n",
       "}\n",
       "\n",
       "table.dataframe .expander {\n",
       "    display: flex;\n",
       "    align-items: center;\n",
       "}\n",
       "\n",
       "/* formatting */\n",
       "\n",
       "table.dataframe .null {\n",
       "    color: var(--text-color-pale);\n",
       "}\n",
       "\n",
       "table.dataframe .structural {\n",
       "    color: var(--text-color-medium);\n",
       "    font-weight: bold;\n",
       "}\n",
       "\n",
       "table.dataframe .dataFrameCaption {\n",
       "    font-weight: bold;\n",
       "}\n",
       "\n",
       "table.dataframe .numbers {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "table.dataframe td:hover .formatted .structural, .null {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "table.dataframe tr:hover .formatted .structural, .null {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "\n",
       "                </style>"
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "   <div id=\"SuULSR\"></div>\n",
       "   <script type=\"text/javascript\" data-lets-plot-script=\"library\">\n",
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       "           window.letsPlotCallQueue = [];\n",
       "       }; \n",
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       "           window.letsPlotCallQueue.push(f);\n",
       "       };\n",
       "       (function() {\n",
       "           var script = document.createElement(\"script\");\n",
       "           script.type = \"text/javascript\";\n",
       "           script.src = \"https://cdn.jsdelivr.net/gh/JetBrains/lets-plot@v4.5.1/js-package/distr/lets-plot.min.js\";\n",
       "           script.onload = function() {\n",
       "               window.letsPlotCall = function(f) {f();};\n",
       "               window.letsPlotCallQueue.forEach(function(f) {f();});\n",
       "               window.letsPlotCallQueue = [];\n",
       "               \n",
       "               \n",
       "           };\n",
       "           script.onerror = function(event) {\n",
       "               window.letsPlotCall = function(f) {};\n",
       "               window.letsPlotCallQueue = [];\n",
       "               var div = document.createElement(\"div\");\n",
       "               div.style.color = 'darkred';\n",
       "               div.textContent = 'Error loading Lets-Plot JS';\n",
       "               document.getElementById(\"SuULSR\").appendChild(div);\n",
       "           };\n",
       "           var e = document.getElementById(\"SuULSR\");\n",
       "           e.appendChild(script);\n",
       "       })();\n",
       "   </script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%useLatestDescriptors\n",
    "%use dataframe\n",
    "%use lets-plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "56979abe-5025-49cc-ab8f-98bf51fbf184",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Lets-Plot Kotlin API v.4.9.0. Frontend: Notebook with dynamically loaded JS. Lets-Plot JS v.4.5.1."
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "LetsPlot.getInfo()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9d4abfc5-a145-4c7f-a7ef-212f1ec8735e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/kotlindataframe+json": "{\"nrow\":5,\"ncol\":12,\"columns\":[\"untitled\",\"manufacturer\",\"model\",\"displ\",\"year\",\"cyl\",\"trans\",\"drv\",\"cty\",\"hwy\",\"fl\",\"class\"],\"kotlin_dataframe\":[{\"untitled\":1,\"manufacturer\":\"audi\",\"model\":\"a4\",\"displ\":1.8,\"year\":1999,\"cyl\":4,\"trans\":\"auto(l5)\",\"drv\":\"f\",\"cty\":18,\"hwy\":29,\"fl\":\"p\",\"class\":\"compact\"},{\"untitled\":2,\"manufacturer\":\"audi\",\"model\":\"a4\",\"displ\":1.8,\"year\":1999,\"cyl\":4,\"trans\":\"manual(m5)\",\"drv\":\"f\",\"cty\":21,\"hwy\":29,\"fl\":\"p\",\"class\":\"compact\"},{\"untitled\":3,\"manufacturer\":\"audi\",\"model\":\"a4\",\"displ\":2.0,\"year\":2008,\"cyl\":4,\"trans\":\"manual(m6)\",\"drv\":\"f\",\"cty\":20,\"hwy\":31,\"fl\":\"p\",\"class\":\"compact\"},{\"untitled\":4,\"manufacturer\":\"audi\",\"model\":\"a4\",\"displ\":2.0,\"year\":2008,\"cyl\":4,\"trans\":\"auto(av)\",\"drv\":\"f\",\"cty\":21,\"hwy\":30,\"fl\":\"p\",\"class\":\"compact\"},{\"untitled\":5,\"manufacturer\":\"audi\",\"model\":\"a4\",\"displ\":2.8,\"year\":1999,\"cyl\":6,\"trans\":\"auto(l5)\",\"drv\":\"f\",\"cty\":16,\"hwy\":26,\"fl\":\"p\",\"class\":\"compact\"}]}",
      "text/html": [
       "        <html>\n",
       "        <head>\n",
       "            <style type=\"text/css\">\n",
       "                :root {\n",
       "    --background: #fff;\n",
       "    --background-odd: #f5f5f5;\n",
       "    --background-hover: #d9edfd;\n",
       "    --header-text-color: #474747;\n",
       "    --text-color: #848484;\n",
       "    --text-color-dark: #000;\n",
       "    --text-color-medium: #737373;\n",
       "    --text-color-pale: #b3b3b3;\n",
       "    --inner-border-color: #aaa;\n",
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       "    --link-color: #296eaa;\n",
       "    --link-color-pale: #296eaa;\n",
       "    --link-hover: #1a466c;\n",
       "}\n",
       "\n",
       ":root[theme=\"dark\"], :root [data-jp-theme-light=\"false\"], .dataframe_dark{\n",
       "    --background: #303030;\n",
       "    --background-odd: #3c3c3c;\n",
       "    --background-hover: #464646;\n",
       "    --header-text-color: #dddddd;\n",
       "    --text-color: #b3b3b3;\n",
       "    --text-color-dark: #dddddd;\n",
       "    --text-color-medium: #b2b2b2;\n",
       "    --text-color-pale: #737373;\n",
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       "    --link-color-pale: #97e1fb;\n",
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       "\n",
       "p.dataframe_description {\n",
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       "\n",
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       "    font-family: \"Helvetica Neue\", Helvetica, Arial, sans-serif;\n",
       "    font-size: 12px;\n",
       "    background-color: var(--background);\n",
       "    color: var(--text-color-dark);\n",
       "    border: none;\n",
       "    border-collapse: collapse;\n",
       "}\n",
       "\n",
       "table.dataframe th, td {\n",
       "    padding: 6px;\n",
       "    border: 1px solid transparent;\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       "table.dataframe th {\n",
       "    background-color: var(--background);\n",
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       "}\n",
       "\n",
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       "    vertical-align: top;\n",
       "}\n",
       "\n",
       "table.dataframe th.bottomBorder {\n",
       "    border-bottom-color: var(--bold-border-color);\n",
       "}\n",
       "\n",
       "table.dataframe tbody > tr:nth-child(odd) {\n",
       "    background: var(--background-odd);\n",
       "}\n",
       "\n",
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       "    background: var(--background);\n",
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       "\n",
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       "    text-decoration: none;\n",
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       "\n",
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       "    color: var(--link-color-pale);\n",
       "}\n",
       "\n",
       "table.dataframe a:hover {\n",
       "    color: var(--link-hover);\n",
       "    text-decoration: underline;\n",
       "}\n",
       "\n",
       "table.dataframe img {\n",
       "    max-width: fit-content;\n",
       "}\n",
       "\n",
       "table.dataframe th.complex {\n",
       "    background-color: var(--background);\n",
       "    border: 1px solid var(--background);\n",
       "}\n",
       "\n",
       "table.dataframe .leftBorder {\n",
       "    border-left-color: var(--inner-border-color);\n",
       "}\n",
       "\n",
       "table.dataframe .rightBorder {\n",
       "    border-right-color: var(--inner-border-color);\n",
       "}\n",
       "\n",
       "table.dataframe .rightAlign {\n",
       "    text-align: right;\n",
       "}\n",
       "\n",
       "table.dataframe .expanderSvg {\n",
       "    width: 8px;\n",
       "    height: 8px;\n",
       "    margin-right: 3px;\n",
       "}\n",
       "\n",
       "table.dataframe .expander {\n",
       "    display: flex;\n",
       "    align-items: center;\n",
       "}\n",
       "\n",
       "/* formatting */\n",
       "\n",
       "table.dataframe .null {\n",
       "    color: var(--text-color-pale);\n",
       "}\n",
       "\n",
       "table.dataframe .structural {\n",
       "    color: var(--text-color-medium);\n",
       "    font-weight: bold;\n",
       "}\n",
       "\n",
       "table.dataframe .dataFrameCaption {\n",
       "    font-weight: bold;\n",
       "}\n",
       "\n",
       "table.dataframe .numbers {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "table.dataframe td:hover .formatted .structural, .null {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "table.dataframe tr:hover .formatted .structural, .null {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "\n",
       ":root {\n",
       "    --background: #fff;\n",
       "    --background-odd: #f5f5f5;\n",
       "    --background-hover: #d9edfd;\n",
       "    --header-text-color: #474747;\n",
       "    --text-color: #848484;\n",
       "    --text-color-dark: #000;\n",
       "    --text-color-medium: #737373;\n",
       "    --text-color-pale: #b3b3b3;\n",
       "    --inner-border-color: #aaa;\n",
       "    --bold-border-color: #000;\n",
       "    --link-color: #296eaa;\n",
       "    --link-color-pale: #296eaa;\n",
       "    --link-hover: #1a466c;\n",
       "}\n",
       "\n",
       ":root[theme=\"dark\"], :root [data-jp-theme-light=\"false\"], .dataframe_dark{\n",
       "    --background: #303030;\n",
       "    --background-odd: #3c3c3c;\n",
       "    --background-hover: #464646;\n",
       "    --header-text-color: #dddddd;\n",
       "    --text-color: #b3b3b3;\n",
       "    --text-color-dark: #dddddd;\n",
       "    --text-color-medium: #b2b2b2;\n",
       "    --text-color-pale: #737373;\n",
       "    --inner-border-color: #707070;\n",
       "    --bold-border-color: #777777;\n",
       "    --link-color: #008dc0;\n",
       "    --link-color-pale: #97e1fb;\n",
       "    --link-hover: #00688e;\n",
       "}\n",
       "\n",
       "p.dataframe_description {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "table.dataframe {\n",
       "    font-family: \"Helvetica Neue\", Helvetica, Arial, sans-serif;\n",
       "    font-size: 12px;\n",
       "    background-color: var(--background);\n",
       "    color: var(--text-color-dark);\n",
       "    border: none;\n",
       "    border-collapse: collapse;\n",
       "}\n",
       "\n",
       "table.dataframe th, td {\n",
       "    padding: 6px;\n",
       "    border: 1px solid transparent;\n",
       "    text-align: left;\n",
       "}\n",
       "\n",
       "table.dataframe th {\n",
       "    background-color: var(--background);\n",
       "    color: var(--header-text-color);\n",
       "}\n",
       "\n",
       "table.dataframe td {\n",
       "    vertical-align: top;\n",
       "}\n",
       "\n",
       "table.dataframe th.bottomBorder {\n",
       "    border-bottom-color: var(--bold-border-color);\n",
       "}\n",
       "\n",
       "table.dataframe tbody > tr:nth-child(odd) {\n",
       "    background: var(--background-odd);\n",
       "}\n",
       "\n",
       "table.dataframe tbody > tr:nth-child(even) {\n",
       "    background: var(--background);\n",
       "}\n",
       "\n",
       "table.dataframe tbody > tr:hover {\n",
       "    background: var(--background-hover);\n",
       "}\n",
       "\n",
       "table.dataframe a {\n",
       "    cursor: pointer;\n",
       "    color: var(--link-color);\n",
       "    text-decoration: none;\n",
       "}\n",
       "\n",
       "table.dataframe tr:hover > td a {\n",
       "    color: var(--link-color-pale);\n",
       "}\n",
       "\n",
       "table.dataframe a:hover {\n",
       "    color: var(--link-hover);\n",
       "    text-decoration: underline;\n",
       "}\n",
       "\n",
       "table.dataframe img {\n",
       "    max-width: fit-content;\n",
       "}\n",
       "\n",
       "table.dataframe th.complex {\n",
       "    background-color: var(--background);\n",
       "    border: 1px solid var(--background);\n",
       "}\n",
       "\n",
       "table.dataframe .leftBorder {\n",
       "    border-left-color: var(--inner-border-color);\n",
       "}\n",
       "\n",
       "table.dataframe .rightBorder {\n",
       "    border-right-color: var(--inner-border-color);\n",
       "}\n",
       "\n",
       "table.dataframe .rightAlign {\n",
       "    text-align: right;\n",
       "}\n",
       "\n",
       "table.dataframe .expanderSvg {\n",
       "    width: 8px;\n",
       "    height: 8px;\n",
       "    margin-right: 3px;\n",
       "}\n",
       "\n",
       "table.dataframe .expander {\n",
       "    display: flex;\n",
       "    align-items: center;\n",
       "}\n",
       "\n",
       "/* formatting */\n",
       "\n",
       "table.dataframe .null {\n",
       "    color: var(--text-color-pale);\n",
       "}\n",
       "\n",
       "table.dataframe .structural {\n",
       "    color: var(--text-color-medium);\n",
       "    font-weight: bold;\n",
       "}\n",
       "\n",
       "table.dataframe .dataFrameCaption {\n",
       "    font-weight: bold;\n",
       "}\n",
       "\n",
       "table.dataframe .numbers {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "table.dataframe td:hover .formatted .structural, .null {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "table.dataframe tr:hover .formatted .structural, .null {\n",
       "    color: var(--text-color-dark);\n",
       "}\n",
       "\n",
       "\n",
       "            </style>\n",
       "        </head>\n",
       "        <body>\n",
       "            <table class=\"dataframe\" id=\"df_-1375731712\"></table>\n",
       "\n",
       "<p class=\"dataframe_description\">DataFrame: rowsCount = 5, columnsCount = 12</p>\n",
       "<table class=\"dataframe\" id=\"static_df_-1375731711\"><thead><tr><th class=\"bottomBorder\" style=\"text-align:left\">untitled</th><th class=\"bottomBorder\" style=\"text-align:left\">manufacturer</th><th class=\"bottomBorder\" style=\"text-align:left\">model</th><th class=\"bottomBorder\" style=\"text-align:left\">displ</th><th class=\"bottomBorder\" style=\"text-align:left\">year</th><th class=\"bottomBorder\" style=\"text-align:left\">cyl</th><th class=\"bottomBorder\" style=\"text-align:left\">trans</th><th class=\"bottomBorder\" style=\"text-align:left\">drv</th><th class=\"bottomBorder\" style=\"text-align:left\">cty</th><th class=\"bottomBorder\" style=\"text-align:left\">hwy</th><th class=\"bottomBorder\" style=\"text-align:left\">fl</th><th class=\"bottomBorder\" style=\"text-align:left\">class</th></tr></thead><tbody><tr><td  style=\"vertical-align:top\">1</td><td  style=\"vertical-align:top\">audi</td><td  style=\"vertical-align:top\">a4</td><td  style=\"vertical-align:top\">1.800000</td><td  style=\"vertical-align:top\">1999</td><td  style=\"vertical-align:top\">4</td><td  style=\"vertical-align:top\">auto(l5)</td><td  style=\"vertical-align:top\">f</td><td  style=\"vertical-align:top\">18</td><td  style=\"vertical-align:top\">29</td><td  style=\"vertical-align:top\">p</td><td  style=\"vertical-align:top\">compact</td></tr><tr><td  style=\"vertical-align:top\">2</td><td  style=\"vertical-align:top\">audi</td><td  style=\"vertical-align:top\">a4</td><td  style=\"vertical-align:top\">1.800000</td><td  style=\"vertical-align:top\">1999</td><td  style=\"vertical-align:top\">4</td><td  style=\"vertical-align:top\">manual(m5)</td><td  style=\"vertical-align:top\">f</td><td  style=\"vertical-align:top\">21</td><td  style=\"vertical-align:top\">29</td><td  style=\"vertical-align:top\">p</td><td  style=\"vertical-align:top\">compact</td></tr><tr><td  style=\"vertical-align:top\">3</td><td  style=\"vertical-align:top\">audi</td><td  style=\"vertical-align:top\">a4</td><td  style=\"vertical-align:top\">2.000000</td><td  style=\"vertical-align:top\">2008</td><td  style=\"vertical-align:top\">4</td><td  style=\"vertical-align:top\">manual(m6)</td><td  style=\"vertical-align:top\">f</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">31</td><td  style=\"vertical-align:top\">p</td><td  style=\"vertical-align:top\">compact</td></tr><tr><td  style=\"vertical-align:top\">4</td><td  style=\"vertical-align:top\">audi</td><td  style=\"vertical-align:top\">a4</td><td  style=\"vertical-align:top\">2.000000</td><td  style=\"vertical-align:top\">2008</td><td  style=\"vertical-align:top\">4</td><td  style=\"vertical-align:top\">auto(av)</td><td  style=\"vertical-align:top\">f</td><td  style=\"vertical-align:top\">21</td><td  style=\"vertical-align:top\">30</td><td  style=\"vertical-align:top\">p</td><td  style=\"vertical-align:top\">compact</td></tr><tr><td  style=\"vertical-align:top\">5</td><td  style=\"vertical-align:top\">audi</td><td  style=\"vertical-align:top\">a4</td><td  style=\"vertical-align:top\">2.800000</td><td  style=\"vertical-align:top\">1999</td><td  style=\"vertical-align:top\">6</td><td  style=\"vertical-align:top\">auto(l5)</td><td  style=\"vertical-align:top\">f</td><td  style=\"vertical-align:top\">16</td><td  style=\"vertical-align:top\">26</td><td  style=\"vertical-align:top\">p</td><td  style=\"vertical-align:top\">compact</td></tr></tbody></table>\n",
       "        </body>\n",
       "        <script>\n",
       "            /*<!--*/\n",
       "call_DataFrame(function() { DataFrame.addTable({ cols: [{ name: \"<span title=\\\"untitled: Int\\\">untitled</span>\", children: [], rightAlign: true, values: [\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">1</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">2</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">3</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">4</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">5</span></span>\"] }, \n",
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       "{ name: \"<span title=\\\"displ: Double\\\">displ</span>\", children: [], rightAlign: true, values: [\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">1.8</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">1.8</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">2.0</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">2.0</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">2.8</span></span>\"] }, \n",
       "{ name: \"<span title=\\\"year: Int\\\">year</span>\", children: [], rightAlign: true, values: [\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">1999</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">1999</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">2008</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">2008</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">1999</span></span>\"] }, \n",
       "{ name: \"<span title=\\\"cyl: Int\\\">cyl</span>\", children: [], rightAlign: true, values: [\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">4</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">4</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">4</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">4</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">6</span></span>\"] }, \n",
       "{ name: \"<span title=\\\"trans: String\\\">trans</span>\", children: [], rightAlign: false, values: [\"auto(l5)\",\"manual(m5)\",\"manual(m6)\",\"auto(av)\",\"auto(l5)\"] }, \n",
       "{ name: \"<span title=\\\"drv: String\\\">drv</span>\", children: [], rightAlign: false, values: [\"f\",\"f\",\"f\",\"f\",\"f\"] }, \n",
       "{ name: \"<span title=\\\"cty: Int\\\">cty</span>\", children: [], rightAlign: true, values: [\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">18</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">21</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">20</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">21</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">16</span></span>\"] }, \n",
       "{ name: \"<span title=\\\"hwy: Int\\\">hwy</span>\", children: [], rightAlign: true, values: [\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">29</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">29</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">31</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">30</span></span>\",\"<span class=\\\"formatted\\\" title=\\\"\\\"><span class=\\\"numbers\\\">26</span></span>\"] }, \n",
       "{ name: \"<span title=\\\"fl: String\\\">fl</span>\", children: [], rightAlign: false, values: [\"p\",\"p\",\"p\",\"p\",\"p\"] }, \n",
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       "], id: -1375731712, rootId: -1375731712, totalRows: 5 } ) });\n",
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       "call_DataFrame(function() { DataFrame.renderTable(-1375731712) });\n",
       "\n",
       "document.getElementById(\"static_df_-1375731711\").style.display = \"none\";\n",
       "        </script>\n",
       "        </html>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "val df = DataFrame.readCSV(\"https://raw.githubusercontent.com/JetBrains/lets-plot-docs/master/data/mpg.csv\")\n",
    "val dataMap = df.toMap()\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "855f2503-1275-4881-8140-2a4ff3337886",
   "metadata": {},
   "source": [
    "## Default Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "980cba2b-b223-476a-a375-bf23765a6ecb",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "   <script type=\"text/javascript\" data-lets-plot-script=\"plot\">\n",
       "   \n",
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       "\n",
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       "\"figures\":[{\n",
       "\"ggtitle\":{\n",
       "\"text\":\"Q-Q Plot\"\n",
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       "                           width: width\n",
       "                       }\n",
       "                   };\n",
       "                   var fig = LetsPlot.buildPlotFromProcessedSpecs(plotSpec, -1, -1, plotContainer, options);\n",
       "                   if (toolbar) {\n",
       "                     toolbar.bind(fig);\n",
       "                   }\n",
       "               });\n",
       "               \n",
       "               break;\n",
       "           }\n",
       "       }\n",
       "   });\n",
       "   \n",
       "   observer.observe(containerDiv);\n",
       "   \n",
       "   // ----------\n",
       "   })();\n",
       "   \n",
       "   </script>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gggrid(listOf(\n",
    "    qqPlot(dataMap, sample = \"hwy\") + ggtitle(\"Q-Q Plot\"),\n",
    "    qqPlot(dataMap, x = \"cty\", y = \"hwy\") + ggtitle(\"Q-Q-2 Plot\")\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b04768ea-5ce2-4fd0-83c3-ec4e80c07e3d",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "   <div id=\"aCv2Iv\"></div>\n",
       "   <script type=\"text/javascript\" data-lets-plot-script=\"plot\">\n",
       "   \n",
       "   (function() {\n",
       "   // ----------\n",
       "   \n",
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       "               // Render plot\n",
       "               if (observer) {\n",
       "                   observer.disconnect();\n",
       "                   observer = null;\n",
       "               }\n",
       "\n",
       "               var plotSpec={\n",
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       "\"name\":\"grid\",\n",
       "\"ncol\":2,\n",
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       "\"name\":\"\\\"exp\\\" distribution quantiles\"\n",
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       "\"name\":\"hwy quantiles\"\n",
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       "\"data\":{\n",
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       "                   }\n",
       "               });\n",
       "               \n",
       "               break;\n",
       "           }\n",
       "       }\n",
       "   });\n",
       "   \n",
       "   observer.observe(containerDiv);\n",
       "   \n",
       "   // ----------\n",
       "   })();\n",
       "   \n",
       "   </script>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "val marginals = listOf(\"none\", \"hist:tr\", \"dens:tr,hist:bl\", \"box : tr : .05, dens : bl\")\n",
    "gggrid(marginals.map { marginal ->\n",
    "    qqPlot(dataMap, sample = \"hwy\", distribution = \"exp\", marginal=marginal) +\n",
    "        ggtitle(\"marginal = '${marginal}'\")\n",
    "}, ncol = 2)"
   ]
  }
 ],
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